Least Common Multiple (LCM) of 187 and 163
The least common multiple (LCM) of 187 and 163 is 30481.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 187 and 163?
First, calculate the GCD of 187 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 163 = 1 remainder 24 |
| 2 | 163 ÷ 24 = 6 remainder 19 |
| 3 | 24 ÷ 19 = 1 remainder 5 |
| 4 | 19 ÷ 5 = 3 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 198 | 1386 |
| 69 and 80 | 5520 |
| 36 and 111 | 1332 |
| 103 and 175 | 18025 |
| 155 and 28 | 4340 |